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NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Standard 11–12 Syllabus (2024)

Implementation from 2026
Expand for detailed implementation advice

Content

Year 12 – Standard 2

Ratios and rates
Ratios
  • Recognise Loading  and explain their relationship with fractions

  • Express a ratio in simplest form

  • Determine the ratio of two quantities

  • Divide a quantity in a given ratio

  • Solve practical problems involving ratios

  • Solve practical ratio problems involving the Loading 

  • Explain the relationship between ratios and map Loading  and apply this relationship to solve problems in a variety of practical contexts

  • Construct Loading , with and without using digital tools

  • Estimate and compare quantities, materials and Loading  using measurements taken from scale drawings and building plans with commonly used symbols

  • Calculate the perimeter, or area of a section of land using the Loading  where appropriate, from a site plan, an aerial photograph, a Loading  or a map that includes a scale

  • Calculate the volume of rainfall over an area using V=Ah, where V is the volume, A is the area of land and h is the depth of rain, from a site plan, an aerial photograph, a radial survey or a map that includes a scale
Rates
  • Explain the difference between ratios and Loading 

  • Represent given information as a unit rate

  • Convert between rates

  • Make comparisons between rates in a variety of practical contexts

  • Compare Loading  to determine Loading 

  • Use rates to solve problems in a variety of practical contexts

  • Interpret and analyse Loading  to solve problems related to Loading , Loading  and time

  • Examine Loading  to compare the efficiency of vehicles

  • Recognise and convert between watts (W) and kilowatts (kW) using 1000 W=1 kW
  • Apply units of energy to calculate Loading  and solve problems involving the consumption of energy

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